306090 Formula
We have different types of triangles existing such as an acute, obtuse, right triangle. Before understanding 306090 formulas, let us first recall what is a 306090 triangle. 306090 is one of the special right triangles where the three interior angles measure 30°, 60°, and 90°. Right triangles with 306090 interior angles are known as special right triangles i.e, their sides and angles are predictable and consistent.
 All 306090 triangles are similar.
 Two 306090 triangles sharing a long leg form an equilateral triangle.
Let us understand 306090 Formula using solved examples in the following section.
What is the 306090 Formula?
A 306090 degree triangle is a special right triangle, so its side lengths are always consistent with each other. The ratio of the sides follow the 306090 triangle ratio given by the 306090 Formula as,
1 : 2 : √3
Thus, for a 306090 triangle, the dimensions of the sides can be given as:
 x = Short side (opposite the 30 degree angle)
 2x = Hypotenuse (opposite the 90 degree angle)
 x√3 = Long side (opposite the 60 degree angle)
These three special rules can be considered the 306090 triangle theorem and are unique to these special right triangles:
 The hypotenuse (the triangle's longest side) is always twice the length of the short leg.
 The length of the longer leg is the short leg's length times √3.
 If you know the length of any one side of a 306090 triangle, you can find the missing side lengths.
Let's solve some examples using 306090 Formula
Solved Examples Using 306090 Formula

Example 1:For the given right triangle the value of the hypotenuse is 3.46km. Find all the other sides of the triangle using 306090 Formula.
Solution:
Let the hypotenuse, base, and height be 2x, x, and x√3. Using 306090 Formula,
Hypotenuse = 2x = 3.46km
Base = x = 3.46/2 = 1.73km
Height = x√3 = √3 × 1.73 = 3km
Answer: Thus, the dimensions are 3.46km, 1.73km and 3km.

Example 2:Find the missing side of the given triangle.
Solution:
We can see that its a right triangle in which the hypotenuse is the double of one of the sides of the triangle. Thus, it is called a 306090 triangle where the smaller angle will be 30.
Using 306090 Formula, the longer side is always opposite to 60° and the missing side measures 3√3 units in the given figure.
Answer: Thus, the missing side is 3√3 units.